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Finding the Fourth Proportional to 322,333.73, 482,836.13 and 188,809.17

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Solution

The fourth proportional to 322,333.73, 482,836.13 and 188,809.17 is: 282,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,333.73 : 482,836.13 = 188,809.17 : x
  2. Step 2: Convert to fraction form
    322,333.73/482,836.13 = 188,809.17/x
  3. Step 3: Cross multiply
    322,333.73x = 482,836.13 × 188,809.17
  4. Step 4: Simplify right side
    322,333.73x = 91,163,888,951.31
  5. Step 5: Solve for x
    x = 91,163,888,951.31/322,333.73
  6. Step 6: Final answer
    x = 282,824.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.